Recall that De Moivre's Theorem states that if z=r(cos + is sin 0) is a complex number, then zn=rn (cos (no) + i sin (no). Use De Moivre's Theorem to find the indicated power. Write the answer in rectangular form. [2(cos π/10 + i sin π/10)]5
Recall that De Moivre's Theorem states that if z=r(cos + is sin 0) is a complex number, then zn=rn (cos (no) + i sin (no). Use De Moivre's Theorem to find the indicated power. Write the answer in rectangular form. [2(cos π/10 + i sin π/10)]5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 9E
Question
![Recall that De Moivre's Theorem states that if
z=r(cos + is sin 0) is a complex number, then
zn=rn (cos (no) + i sin (no).
Use De Moivre's Theorem to find the indicated
power. Write the answer in rectangular form.
[2(cos π/10 + i sin π/10)]5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F890dea64-e4e5-493d-a9de-7a620d76b9c7%2F639c8c1f-6a3b-4a9f-a722-eab6dfdbe816%2Frj65bt9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall that De Moivre's Theorem states that if
z=r(cos + is sin 0) is a complex number, then
zn=rn (cos (no) + i sin (no).
Use De Moivre's Theorem to find the indicated
power. Write the answer in rectangular form.
[2(cos π/10 + i sin π/10)]5
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